Abstract
Non-Hermitian Hamiltonians are an effective tool for describing the dynamics of open quantum systems. Previous research shows that the restrictions of conventional quantum mechanics may be violated in the non-Hermitian cases. We studied the entropy of a system of entangled qubits governed by a local non-Hermitian Hamiltonian operator. We find that local non-Hermitian operation influences the entropies of the two subsystems equally and simultaneously. This indicates that non-Hermitian operators possess the property of non-locality, which makes information exchange possible between subsystems. These information exchanges reduce the uncertainty of outcomes associated with two incompatible quantum measurements.
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This work is supported by the National Natural Science Foundation of China (Grant No. 11374096) and Hunan Provincial Natural Science Foundation of China (Grant No. 2017JJ3046).
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Zhang, SY., Fang, MF. & Xu, L. Quantum entropy of non-Hermitian entangled systems. Quantum Inf Process 16, 234 (2017). https://doi.org/10.1007/s11128-017-1685-9
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DOI: https://doi.org/10.1007/s11128-017-1685-9